The area bounded by the line y=3x from limits x=0 to x=4 will be 24.
What is integration?
Integration is defined as the adding up all the small units to find the whole unit.
It is given in the question that the line y=3x is making a region in a plane from the limits x= to x=4.
So by integrating the function we will get the area.
[tex]\int\limits^4_0 y=\int\limits^4_0 {3x} \, dx[/tex]
[tex]\int\limits^4_0 y=3 \int\limits^4_0 {x} \, dx[/tex]
[tex]\int\limits^4_0 y=[\dfrac{3x^2}{2}]^4_0[/tex]
[tex]\int\limits^4_0 y= \dfrac{(3\times (4)^2)}{2}[/tex]
[tex]\int\limits^4_0 y= 24[/tex]
hence the region bounded by the line y=3x will have the area of 24 square units.
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please answer question below asap!!
Answer: I hope this helps!:)
Step-by-step explanation:
round 9.50 to the nearest whole number
Answer:
10 because 9.50 is closest to 10 and 5 or higher, you round up.
This Stem-and-Leaf Plot is missing one data item. If the mode of the data set is 71, what is the value of the unknown data item?
Using the mode concept, according to the stem-and-leaf plot, the missing value is of 71.
What is the mode of the data-set?It is the value that appears the most times in the data-set.
In this problem, following the key format of the stem-and-leaf plot, disconsidering the missing value, the values 71 and 64 each appear 3 times.
However, the mode is 71, meaning that is should appear more times than 64, which means that the missing value is of 71.
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Answer:
The missing value is 71
Step-by-step explanation:
3+[tex]3+\sqrt{2}/4\sqrt{2}+2[/tex]
find the volume of a pyramid with a square bade, where the perimeter of the bade is 17cm and the height is 15cm
Check the picture below.
so, we know the perimeter of the base is 17, thus
[tex]s + s + s + s = 17\implies 4s=17\implies s=\cfrac{17}{4} ~\hfill \stackrel{\textit{area of the base}}{s^2\implies \left( \cfrac{17}{4} \right)^2} \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3}~~ \begin{cases} h=height\\ B=\textit{base's area}\\[-0.5em] \hrulefill\\ h=15\\ B=\frac{17^2}{4^2} \end{cases}\implies \begin{array}{llll} V=\cfrac{1}{3}(15)\left( \cfrac{17^2}{4^2} \right)\implies V=\cfrac{1445}{16} \\\\\\ V \approx 90.31 \end{array}[/tex]
If 12 is the mean score of the following set of numbers:12,10,x,8,10,find the value of x.
A.12
B.15
C.20
D.40
E.60
Answer:
C.20
Step-by-step explanation:
12+10+8+10+20=60
60/5=12
(5 is the number of numbers, 12,10,8,10,20)
Volleyball players are randomly placed on teams by spinning a spinner with four congruent, colored sections. They are assigned positions on the team by rolling a six-sided die. The team colors are red, black, green, and purple.
Which of the following is true?
A. Spinning the spinner and rolling the die to select teams and positions represent independent events because the outcome of the first event affects the outcome of the second event.
B. The problem does not provide enough information to determine if the two events are independent or dependent.
C. Spinning the spinner and rolling the die to select teams and positions represent independent events because the outcome of the first event does not affect the outcome of the second event.
D. Spinning the spinner and rolling the die to select teams and positions represent dependent events because the outcome of the first event affects the outcome of the second event.
The area of the figure is __ square units.
Answer:
26
Step-by-step explanation:
First, let's find the area of the box on top. 5*2 is 10. We can see that there is another identical box, so we can multiply the area of one box (10) by 2 to get 20. Now we need to find the middle box. 3*2 is 6. All we have to do now is add all the boxes' areas together. This would be 20+6 (10+10+6), which gives us our answer, 26.
Hope this helps!
A rectangle has an area of 14 square feet. one side length is 3.5 feet. Find the side length of the other side and then give the perimeter of the square?
Sasha is mailing a photo box that has the dimensions shown in a rectangular box that is 12.5 inches long, 4.2 inches wide, and 12.5 inches tall. If one bag of packing material hold 75 cubic inches of material, of how many bags does Sasha need to buy to fill the space around the photo box?
Answer:
Step-by-step explanation:
i dont know but i need the answer now
Which shape will result from taking a cross section of the cuboid through the points shown?
pentagon
parallelogram
triangle
hexagon
Answer:
hexagon
Step-by-step explanation:
cross section of the cuboid
Alfonso uses a payroll deduction to deposit $120 into his
savings account each month. How much will he save in a year?
Please helppp
Answer:
1,440
Step-by-step explanation:
Help asap 20 points
select the correct answer.
the table gives the number of bacterial cells in a colony over time.
time (hours) cell population
0 125
2 162
4 258
6 374
8 518
10 763
fit an exponential model to the data. based on this model, what is the best prediction for the number of cells in the colony at 16 hours?
a.
1,200
b.
2,300
c.
1,600
d.
2,700
Answer:
2,300
Step-by-step explanation:
Plato
The best prediction for the number of cells in the colony at 16 hours will be 2300. Then the correct option is B.
What is an exponent?Let a be the initial value and x be the power of the exponent function and b be the increasing factor.
The exponent is given as
y = a(b)ˣ
The table is given below.
Time (hours) Cell population
0 125
2 162
4 258
6 374
8 518
10 763
Then the equations are given as,
125 = a ...1
763 = ab¹⁰ ...2
From equations 1 and 2, then we have
b¹⁰ = 763/125
b² = 6.104
b = 1.2
Then the equation is given as,
y = 125(1.2)ˣ
Then the best prediction for the number of cells in the colony at 16 hours will be
y = 125(1.2)¹⁶
y = 2311.05
y ≈ 2300
The best prediction for the number of cells in the colony at 16 hours will be 2300. Then the correct option is B.
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What is the volume of one rubber ball? round to the nearest hundredth of a centimeter. cm3 if the price of the rubber needed to produce a ball is $0. 0045/cm3, what is the cost of producing one ball? round to the nearest cent. $ if the company sells a ball for $0. 50, how much profit will it make on each ball? $.
The cost of producing one ball will be $ 0.09261. Then the profit will be if each ball is $ 0.41.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A toy company produces rubber balls that have a radius of 1. 7 cm.
A sphere has a radius of 1. 7 centimeters.
Then the volume of the ball will be
Volume = 4/3 x π x r³
Volume = 4/3 x π x 1.7³
Volume = 20.58 cubic cm
If the price of the rubber needed to produce a ball is $0.0045/cm³.
Then the cost of producing one ball will be
→ 20.58 x 0.0045
→ $ 0.09261
If the company sells a ball for $0.50. Then the profit will be
Profit = 0.50 - 0.09261
Profit = $ 0.41
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If 1/a=1/b+1/c, find a when b=3 and c=2/3
Answer:
[tex]\frac{1}{a} =\frac{1}{b} +\frac{1}{c} \\ \\\frac{1}{a} = \frac{1}{3} + \frac{1}{2/3} \\\\\frac{1}{a} = \frac{1}{3} + \frac{3}{2}\\\\\frac{1}{a} = \frac{11}{6}\\\\a = \frac{6}{11}[/tex]
The graph shows the distance, y, in miles, of a moving motorboat from an island for a certain amount of time, x, in hours:
A graph titled Distance Vs Time is shown, with Time in hours labeled on x axis and Distance from Island in miles labeled on y axis. The scale on the x axis shows the numbers 1, 2, 3, 4, 5, 6, 7, and the scale on the y axis shows the numbers 0, 22, 44, 66, 88, 110, 132, 154, 176, 198. The graph shows a straight line joining the ordered pairs 0, 22, and 1, 66, and 2, 110, and 3, 154, and 4, 198.
What is the speed of the motorboat?
198 miles per hour
22 miles per hour
44 miles per hour
66 miles per hour
Using linear function concepts, it is found that the speed of the motorboat is of 22 miles per hour.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, each second, the position increased by 22, hence the slope is of 22. Since velocity is the distance divided by the time, which in this problem is the slope, the speed of the motorboat is of 22 miles per hour.
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How do you solve this?
Answer:
120+5x+15+5x+15=180
10x=180-120-15-15
x=30°
Answer: 9^o
Step-by-step explanation:
(all angles in an isoceles triangle adds up to 180 degrees)
5 x + 15 + 120 = 180
5x = 180 - 120 - 15
5 x = 45
x = 9^o
please help me I will give brainliest
Answer:
I believe the answers are B and C
Step-by-step explanation:
Answer:
i believe b and c
Step-by-step explanation:
Solve the following absolute value inequality.
|-x + 215-7
What is the positive absolute value for x?
x > [?]
X = []
<
Step-by-step explanation:
|-x+2|≤-7
-x+2≤-7 or -(-x+2)≤-7
-x≤-9 x-2≥-7
x≥9 x≥-7+2
x≥-5
....
answere the question
A town’s newspaper held a contest to decide the best restaurant in town. Only people who subscribe to the newspaper can vote. 25% of the people in town subscribe to the newspaper. 20% of the subscribers voted. 80% of the people who voted liked Darnell’s BBQ Pit best.
Darnell put a big sign in his restaurant’s window that said, “80% say Darnell’s is the best!”
Do you think Darnell’s sign is making an accurate statement? Support your answer with:
Some calculations
An explanation in words
A diagram that accurately represents the people in town, the newspaper subscribers, the voters, and the people who liked Darnell’s best
Answer:
no the sign should say 12 percent of people voted darnells
Step-by-step explanation:
because if the population is 10 thousand and you take 25 percent that will put the total amount of people who can vote at 7500 and then take 20 percwnt of that and it will put you at 1500 people who can vote and then if you take 80 percent of 1500 people who can vote than only 1200 of them voted for Darnell which would make it only 12 percent of people voted for darnells
Show your work (19−7)^( (2) ) −8*3+4*3−5
Answer:
Step-by-step explanation:
1 Simplify 19-7 to 12.
12^2−8×3+4×3−5
2 Simplify 12^2 to 144
144−8×3+4×3−5
3 Simplify 8×3 to 24.
144−24+4×3−5
4 Simplify 4×3 to 12.
144−24+12−5
5 Simplify 144-24 to 120.
120+12-5
6 Simplify 120+12 to 132.
132-5
7 Simplify.
127
I need help to find the equation and measure pls.
Answer:
Step-by-step explanation:
AD and EH are parallel lines
Angle CBD = Angle CFH = x (corresponding angles)
x + 2x = 180 (angles on a straight line)
3x = 180
x = 60
Angle GFH = 120
Angle CBD = 60
Giving brailiest!!!!
Applying the definition of complementary angles, the value of x in the figure given is: 12
What are Complementary Angles?Complementary angles are angles that give 90 degrees when added up.
(3x + 6) + 48 = 90 [definition of complementary angles]
Solve for x
3x + 54 = 90
3x = 90 - 54
3x = 36
x = 36/3
x = 12
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Determine whether or not f is a conservative vector field 3x^2 -5y^2
The given vector Field f(x,y)= [tex]3x^{2} - 5y^{2}[/tex] is not Conservative.
What is Conservative Vector Field?A conservative vector field is a vector field that is the gradient of some function.
The integral is independent of the path that C takes going from its starting point to its ending point.
We know that , the function F conservative if
[tex]\frac{ dP}{dy}[/tex] = [tex]\frac{dQ}{dx}[/tex]
If we prove opposite of this then the function F is not conservative
We have given function , f(x,y)= [tex]3x^{2} - 5y^{2}[/tex]
let P(x,y) = [tex]3x^{2} - 5y^{2}[/tex] and Q (x,y) =0
Now, [tex]\frac{dP}{dy}[/tex] = -10y
and, [tex]\frac{dQ}{dx}[/tex] = 0
Since [tex]\frac{dP}{dy}[/tex] ≠ [tex]\frac{dQ}{dx}[/tex]
Hence, the field is not conservative.
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Find c. Select the letter of the solution.
Answer:
that would be B
Step-by-step explanation:
Can someone please help me out with number 4. I will reward brainliest.
Answer:
y = 2sin(x - π/4)
Step-by-step explanation:
The graph depicts a sin graph which is shifted to the right by π/4 so the x value will have be bigger so to counteract this change, the equation would be sin(x - π/4) and since the amplitude is 2, the overall equation would be 2sin(x- π/4).
Find the mean and median of these data: 2, 5, 13, 15, 19, 21.
The Arithmetic Mean and Median of the given set of data ( 2, 5, 13, 15, 19, 21 ) are 12.5 and 14 respectively.
What is Arithmetic mean?Arithmetic mean is simply the average of a given set numbers. It is determined by dividing the sum of a given set number by their number of appearance.
Mean = Sum total of the number ÷ n
Where n is number of numbers
Median is the middle number in the data set.
Given the sets;
2, 5, 13, 15, 19, 21n = 6Mean = Sum total of the number ÷ n
Mean = (2 + 5 + 13 + 15 + 19 + 21) ÷ 6
Mean = 75 ÷ 6
Mean = 12.5
Median is the middle number in the data set.
Median = ( 13 + 15 ) ÷ 2
Median = 14
Therefore, the Arithmetic Mean and Median of the given set of data ( 2, 5, 13, 15, 19, 21 ) are 12.5 and 14 respectively.
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What is the area in square units of the trapezoid
Please help me. And please don't ask me anything if it is not related to the question
Answer:
A sclane triangle
Step-by-step explanation:
because none if its side are the same
This is due soon and I need help with this. I would appreciate it if anyone can help me with it. Thanks :)
The equation of the straight line which has a gradient of -2 and passes through (1, 7) is y = -2x + 9.
How to get the slope-intercept form of a straight line equation?The slope-intercept form of the equation
y = mx +c
Here
m is the slope
c is the y-intercept
To find the slope of a line, we find the rate at which the value of 'y' is increasing as we increase the value of 'x' by one unit.
Substituting the point (1, 7) and m = -2 to determine the y-intercept
y = mx +c
7 = (-2)1 + c
c = 7 + 2
c = 9
Thus, the equation of a line using the slope-intercept form is
y = mx +c
m= -2
c = 9
y = -2x + 9
Therefore, we conclude that the equation of a line using the slope-intercept form is y = -2x + 9.
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